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Finding the Fourth Proportional to 914.09, 1,261.44 and 564.75

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Solution

The fourth proportional to 914.09, 1,261.44 and 564.75 is: 779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.09 : 1,261.44 = 564.75 : x
  2. Step 2: Convert to fraction form
    914.09/1,261.44 = 564.75/x
  3. Step 3: Cross multiply
    914.09x = 1,261.44 × 564.75
  4. Step 4: Simplify right side
    914.09x = 712,398.24
  5. Step 5: Solve for x
    x = 712,398.24/914.09
  6. Step 6: Final answer
    x = 779.36

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.